Cuspidal-diaphragm construction.



vHE. MILLER.

CUSPIDAL DIAPHHAGNI CONSTRUCTION.

APPUCAHQN FILED MAY 1o. 191s.

1,@945137., y Patented Feb. 11, 19m.

l /fpfvmv a WMM/Hmmm INVENTOR Fran/z E'. Miller BY FV 5 /7/3 ATTO EY UNTED S FRANK IE. ILLER,

YGRK, N. Y.

iggvlgry. gpecificalcn of Lette-rs Patent. Tail @is lOl-i i Application led Ta? 26, ISHS.

York, have invented vermin new und nSelul .Improvements in Cuspidnl-Diaphregm *Conf structions set. forth in the following specilication.

The obj eely of this invention is to faeilitae the exne und accurate Vpaterning or the cuspidal diuphrngms-@uch as those employed in various 0i' my cusp diaphragm meehzinisms, :is Jr'or example those employed in the strueture-5y disclosed in my paient for cusp dinphregm meehnnisiu.y No. LQQUJQ, pnented March 27, 1917. Although for innny purposes it is desirable to employ Stamping dies for the nmnulieture of lhesey ruvepidnl dinphrugms h v u stinnping process out olz sheer, metall, it is of eoure lirsl; neeessnry lo olinin. :l pultern to determine the. neeensnry contour for the dies. This invention eonlemplules primuril)v the geometrical eonlruelion olE such n pull-ern, ullioug'h ir is lo lie. understood lllnt he pnllern iteell', if milde out of suitable, mnlerinl. inn); il'selr` eonstiiute u sul',- is'l'zlelory euspidul dinphrnggm.

My invention will heiter he nnderslood hy reference lo the following' speeifiention. whieh is direeled lo the illunlrutive diugrnin in lhe. nccomimnying drnwingfs. whieh i'orm :i part hereof.

0n n suitable, sheel'. oi innlerinl, sheet melnl if n working diaphragm is lo he produeed. or n sheet of pnper or lnislol liourd, like l'he :weompmrviugf drnwings. if merely :i pn'i'iern is lo he, mede. is luid out u eireulnr uren lil haring the. eireulur eireu:u'lereneo ll, :ind Wil'h ils center nl, XI Any point upon lhe. eircumlereiue ll is Selected willi n radins; AX', being: theI rudius ol the eirculnr uren. An ure l is luid oli about .i .is u renter. Then. still willi im n renter. :lud u rudiun equal to A" or three-lililhel ol' X. lhe rndins ol lhe cireumlierenee. :i second :1i-e2 is slrueh to intercel'itlhe circumference ll nl: il. Then, wilh ll :1s-:i eenler :1nd willi :l radius edunl lo four-fifths oi AX. lhe, rndiusA ol lhel eireumferenee, :i lhird :irc il is sirucl( to iniercept the nre. l :il (l. 'ln this manner lire point. (l` lo eonsltulelhe umlio or apex ols ille eunpidzll dinphrngm when eoinpleled. is determined. In order to :aller the, pinne sur nlies alongY ihe other eecenlrie radii Serial o, 233774.

fece of the original eireulnr in z dished eoniignrntion. n port oli v 0l ille original circular unie n moved. the edges, of ille renniind ihe eniout poi-lion lgrougfh ngel is desirable hnl llie periphery a ing eonslruetion zipproxinnne n. eireie. lhese ends! first. determine ille ooinl' 'il on the circumference ll. yl`he poini l in vmeh limi the length of he nre lill oiw-a ixlh el' die lenirh o-l lhe are BA. )it nis nneure il muy he nol'ed willi in'eles 'llnil n lriungfle .lil(`. eoznpleted in' rrniggh linen` joiningil the points l. l und l". r t ie pun pose, of lowering he uniho i'. he right', rinne'le of, iyihrI- U haring; sides` in Ille gnfoporiion `l;l'.

llilh lhe point il loeuled. ili should he, Ijoined lo willi :i irziighl line or whnl unifi lie lerined un eeeenlrie radius. llikewiseho poinl .l should he `joined liv :i nl night' line. willi the point (h whieh line snug: lilewie he termed nn ereenlrie rzxdiu. .l-.n eerenlrie serios' ll. eomprisingr l-he lwo-nhnded nrezm lielweeu lhe lines .llh und nrc All. 'in flien demurlied. This eeeeni'rie Sector is 'the purl' ol he originul eireulnr `:iren l0 in he removed le; eulling :dong the linesl C eind li' lo euuse lhe remainder oi' ilse originnl uren lo nsume n di hed Contour. liver@ nolhy in elhe done hul the removul oi' his eeeew irie geelor` il' is/oln'ious lhul, ille poinl, l) would nlnzl' the leg' C :Il` ille poini ll. wliieh is dele'rinined ln striking' ille :1re l5 nlioul. C :is u Cenl'er nnd willi l no n radius. is il. is rei olijectlve hn the rim conlour of 1li-e liniwhed die phrngm he Suhsinnl inllyY eireuler, il iS'iie :f-x :izv lo remove n purl olf ihe unir Agin. more nl the loenlity Alti than nl lho loeulil)Y l), where notl'iingf need he removed.

To determine lhe amount, of 'the rim liant lhould he removed, il is convenient lo divide lhe ei'reulnr eireumferenee. mensured lhe long waxy from A lo l), into n nuniher N of euunl )nu-is. ln the )resent inni'nnee ennuh: '12. which is u suil'nlile number. The eenenlrie radii ("l"` {"(i. Uli. Cl, CJ, iK, CL, illu, (7N. (Y1 CP nre, drawn. The line l'll represents the innonnl of rim lhat Should he ren moved ul. lhe loenli)1 E. but for oher loenl'e ih@ :unoun heeoines gradually less unlil il. is zero nl. thepoini. D. A convenient manner of defili terminingthe points li, G', .HQ I, J', K',

mula) I NfN i for the lengths of the lines F F GG", etc.,

down te the point D, where this length N aero, given by the last of the series Y N A convenient geometrical Amethod of applying this formula is to project the initial length ,MEQ upon the line AYE Where, hy proportional parte, it-may he divided into N equal divisions Q, from which the desired lengths FF', ete, may be measured ofi" along the eccentiic radii. The peints E', A", G down to the pointl) should be lioined hy a smooth en fe R, which is the pattern for the rim of a finished cusp When the edges EC and DC are brought together, the points E and D coincide and the smooth curve R assumes the torre oi substantially a. perfect circle and. is the complete rim of the eccentrically dished diaphragm thus patterned.

Although l have described in detail a pre terr-ed method of patterning a cuspidal dia phragni, l appreciate the fact that there are many steps therein ii'ulividually-novel and it is so contemplated in the claims. lt, is also to he understood that the laying` out method set lorih in the claims is by no :means of necessity limited to the laying out o'li each diaphragm to he made, hut is intended to cover the laying out of a master diaphragm or pattern diaphragm from which dupliiaitesor copies may hc made.

le/llhat I claim and what l desire to secure by United States Letters Patent is L The method et laying out a lcuspidal diaphragm cnii'i] 3-rising, laying out `a, circular figure; selecting'` an eccentric point in the neighborhood of the center of said heure; with said eccentric point as an apex ting out an aeutenngular sector from i i aan? circ: iar figure, the place oi section heing so selected that one .straight edge oil the sector will he longer than the other', the mrresponding edges ot the larger sector heirar similarly unequal; laying; oli a difattance 'from said apeir along the langer leg ai said l: 'ger sector equal to the length of the sdmrter legr of said sector; and trimming the rim el said larger sector a regularly decreasing amount from the distance laid oli im the longer leg of said sector to the unter end ol said shorter lefr.

The method ol laying;l out a cuspidal diaphragm comprising. laying out a eirew lar ligure; from any point A on the circumilcrence ot said circular figure striking an interior are 1 of a radius equal to the tersectin radius of said figure; WithA as a center inthe circumference'of said figure at B Wit 1 arc 2 of radius of the'radius of said figure, and with B as a center and radius f initial radius causing arc 3 t0 intersect arc 1 at C, to indicate the 11m-bo or apex of the desired cuspidal diaphragm.

3. The method of laying out a cuspidal diaphragm comprising, laying out a circular gure; from any )Oint A. on the circumference of said circular figure, strikingvan interior arc 1 of a radius equal lo the radius of said figure; with A as a center inter sect-ing the circumference of said ligure at B with arc 2 of radius of the radius of said figure; with B as a center and radius initial radius causing arc 3 to intersect are 1 at C, to indicate the umbo or apex of the desired cuspidal diaphragm; laying ofi' 2; ofthe are BA from B to D; and rcinoving figure ACD.

4. The method of laying out a cuspidal i ing the circumference of said 'figure at B with arc 2 of radius ot the radius of said figure; with B as a center and radius 4,

initial radius causing arcv 3 to intersect arc 1 at C, to indicate the umbo or apex of the desired cuspidal dialiragm; layng'o -25 of the are BA from Y to D; removing figure A CD; marking E on AC so that (lll ernials CD; and trimming the margin of the remainder of said circular figure a gradually decreasing amount varying AE at E to nothing at D.

In the marginal trimming of a cuspidal diaphragm pattern, dividing the circumference of a circular'gure from which an*y eccentric sector has been removed into N equal arcs; contracting the apexcf'said scetorWith the ends of said arcs with edccntric, radii; from the longv lcg of said eccentric sector markingr off the difference hctivcen the length of said long leg and the length of said short leg; from the remain ingr eccentric radii marking oli' respectively FRANK E. MILLER. 

